S OF TALKS: Márton Balázs (University of Wisconsin): Construction of the zero range process and a deposition model with superlinear growth rates (Joint work with Firas Rassoul-Agha and Timo Seppäläinen) Construction of the zero range process and some related deposition processes is available following the methods initiated by T. M. Liggett and F. Spitzer, and E. D. Andjel. These methods work un...

A central problem of random matrix theory is to understand the eigenvalues of ‘spiked’ or ‘deformed’ random matrix models, in which a prominent eigenvector (or ‘spike’) is planted into a random matrix. These distributions form natural statistical models for principal component analysis (PCA) problems throughout the sciences. Baik, Ben Arous, and Péché [2005] showed that the spiked Wishart ensem...

s Pavel Bleher Scaling Limits and Universality in the Matrix Model (joint work with Alexander Its) About thirty years ago Freeman Dyson found an exact solution for the scaling limit of correlations between eigenvalues in the Gaussian unitary ensemble of random matrices. He conjectured that this scaling limit should appear in a much broader class of non-Gaussian unitary ensembles of random matri...